Title: 3D Pickover Stalks Post by: David Makin on November 08, 2009, 01:43:41 PM After Paul (bugman) posted examples of 3D Pickover Stalks and I managed to get a fairly decent algorithm for 3D orbit traps I decided to try Pickover Stalks myself, so here's an example.
This is a Julia Set using particularly esoteric 3D maths for z^2+c where the unit vector multiplication table is: * | r i j ---------------- r | r j -i i | j -i r j | -i r -j (http://fc00.deviantart.net/fs51/f/2009/312/8/e/3D_Pickover_Stalks_test_by_MakinMagic.jpg) If no image above then look here: http://makinmagic.deviantart.com/art/3D-Pickover-Stalks-test-142906488 (http://makinmagic.deviantart.com/art/3D-Pickover-Stalks-test-142906488) Title: Re: 3D Pickover Stalks Post by: David Makin on November 08, 2009, 05:37:56 PM After Paul (bugman) posted examples of 3D Pickover Stalks and I managed to get a fairly decent algorithm for 3D orbit traps I decided to try Pickover Stalks myself, so here's an example. This is a Julia Set using particularly esoteric 3D maths for z^2+c where the unit vector multiplication table is: * | r i j ---------------- r | r j -i i | j -i r j | -i r -j Just in case anyone's interested: Here's a rotation of the z^2+c Mandy for this system: http://www.fractalgallery.co.uk/EMF.mov (http://www.fractalgallery.co.uk/EMF.mov) Also this multiplication table was inspired by the idea of any two of three perpendicular forces coming together producing a perpendicular result and is based on the obvious unit vector multiplication table for such a system, i.e. * | r i j -------------------- r | +/-r +/-j +/-i i | +/-j +/-i +/-r j | +/-i +/-r +/-j Obviously this gives 512 possibilities depending on the signs used - I tried a few and settled on one based on the fact that it was the most visually interesting Mandy :) |